Introduction to Real Analysis

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This text is a single variable real analysis text, designed for the one-year course at the junior, senior, or beginning graduate level. It provides a rigorous and comprehensive treatment of the theoretical concepts of analysis. The book contains most of the topics covered in a text of this nature, but it also includes many topics not normally encountered in comparable texts. These include the Riemann-Stieltjes integral, the Lebesgue integral, Fourier series, the Weiestrass approximation theorem, and an introduction to normal linear spaces. The Real Number System; Sequence Of Real Numbers; Structure Of Point Sets; Limits And Continuity; Differentiation; The Riemann And Riemann-Stieltjes Integral; Series of Real Numbers; Sequences And Series Of Functions; Orthogonal Functions And Fourier Series; Lebesgue Measure And Integration; Logic and Proofs; Propositions and Connectives For all readers interested in real analysis.Manfred Stoll. To. the. Student. The difference between a course on calculus and
a course on real analysis is analogous to the difference in the approach to the
subject prior to the nineteenth century and ... I have included hints and answers
to selected exercises at the end of the text; these are indicated by an asterisk (*).

Title

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Introduction to Real Analysis

Author

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Manfred Stoll

Publisher

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Addison-Wesley - 2001

ISBN-13

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